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22010221010120 = 2357229387231193
BaseRepresentation
bin1010000000100101001110…
…11001111001110011001000
32212221011020010221110122012
411000102213121321303020
510341103413034310440
6114451204514515052
74431120536463200
oct500224731716310
985834203843565
1022010221010120
117016533a56022
12257588a595a88
13c3872a267995
1456142c361400
1528280a32ae65
hex1404a7679cc8

22010221010120 has 96 divisors (see below), whose sum is σ = 59594880756600. Its totient is φ = 7286142108672.

The previous prime is 22010221010119. The next prime is 22010221010143. The reversal of 22010221010120 is 2101012201022.

It can be written as a sum of positive squares in 4 ways, for example, as 16884226157764 + 5125994852356 = 4109042^2 + 2264066^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22010221010095 and 22010221010104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193558757 + ... + 193672436.

Almost surely, 222010221010120 is an apocalyptic number.

22010221010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010221010120 is an abundant number, since it is smaller than the sum of its proper divisors (37584659746480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010221010120 is a wasteful number, since it uses less digits than its factorization.

22010221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387231247 (or 387231236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22010221010120 its reverse (2101012201022), we get a palindrome (24111233211142).

The spelling of 22010221010120 in words is "twenty-two trillion, ten billion, two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 387231193 774462386 1548924772 1936155965 2710618351 3097849544 3872311930 5421236702 7744623860 10842473404 11229704597 13553091755 15489247720 18974328457 21684946808 22459409194 27106183510 37948656914 44918818388 54212367020 56148522985 75897313828 78607932179 89837636776 94871642285 108424734040 112297045970 151794627656 157215864358 189743284570 224594091940 314431728716 379486569140 393039660895 449188183880 550255525253 628863457432 758973138280 786079321790 1100511050506 1572158643580 2201022101012 2751277626265 3144317287160 4402044202024 5502555252530 11005110505060 22010221010120